Determine the location of each local extremum of the function. f(x) = - x5 - 12x2- 36x + 1 . . What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type integers or simplified fractions.) O B. The function has no local minimum. What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima is/are at X = (Use a comma to separate answers as needed. Type integers or simplified fractions.) O B. The function has no local maximum